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Finding the Fourth Proportional to 20,839.84, 28,758.48 and 11,408.80

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Solution

The fourth proportional to 20,839.84, 28,758.48 and 11,408.80 is: 15,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.84 : 28,758.48 = 11,408.80 : x
  2. Step 2: Convert to fraction form
    20,839.84/28,758.48 = 11,408.80/x
  3. Step 3: Cross multiply
    20,839.84x = 28,758.48 × 11,408.80
  4. Step 4: Simplify right side
    20,839.84x = 328,099,746.62
  5. Step 5: Solve for x
    x = 328,099,746.62/20,839.84
  6. Step 6: Final answer
    x = 15,743.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.